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Finding the Third Proportional to 215,918,576.50 and 466,242,781.50

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Solution

The third proportional to 215,918,576.50 and 466,242,781.50 is: 1,006,779,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,918,576.50 : 466,242,781.50 = 466,242,781.50 : x
  2. Step 2: Convert to fraction form
    215,918,576.50/466,242,781.50 = 466,242,781.50/x
  3. Step 3: Cross multiply
    215,918,576.50x = 466,242,781.50 × 466,242,781.50
  4. Step 4: Simplify right side
    215,918,576.50x = 217,382,331,300,856,736
  5. Step 5: Solve for x
    x = 217,382,331,300,856,736/215,918,576.50
  6. Step 6: Final answer
    x = 1,006,779,198.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.